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Tokushima University ⟩ Graduate School of Technology, Industrial and Social Sciences ⟩ Division of Science and Technology ⟩ Mathematical Science ⟩ Mathematics and Computer Sciences ⟩ (Files for researchmap) [PDF manual] [Auto-propagate to researchmap]

Research

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Field of Study

○ Mathematics

Subject of Study

○ geometric analysis, differential geometry (geometric flows, heat equation, minimal submanifolds)

Book / Paper

Academic Paper (Judged Full Paper):

1. Keita Kunikawa and Sakurai Yohei :
Gaussian heat kernel estimates of Bamler-Zhang type along super Ricci flow,
Communications on Pure and Applied Analysis, Vol.24, No.7, 1156-1178, 2025.
(DOI: 10.3934/cpaa.2025030,   Elsevier: Scopus)
2. Keita Kunikawa and Yohei Sakurai :
Hamilton type entropy formula along the Ricci flow on surfaces with boundary,
Communications in Analysis and Geometry, Vol.31, No.7, 1655-1668, 2024.
(DOI: 10.4310/CAG.2023.v31.n7.a2,   Elsevier: Scopus)
3. Keita Kunikawa and Yohei Sakurai :
Yau and Souplet-Zhang type gradient estimates on Riemannian manifolds with boundary under Dirichlet boundary condition,
Proceedings of the American Mathematical Society, Vol.150, No.4, 1767-1777, 2022.
(DOI: 10.1090/proc/15768)
4. Keita Kunikawa and Sakurai Yohei :
Liouville theorem for harmonic map heat flow along ancient super Ricci flow via reduced geometry,
Calculus of Variations and Partial Differential Equations, Vol.60, No.5, 199, 2021.
(DOI: 10.1007/s00526-021-02079-2,   CiNii: 1360857593647552640)
5. Keita Kunikawa and Yohei Sakurai :
Liouville theorem for heat equation along ancient super Ricci flow via reduced Geometry,
Journal of Geometric Analysis, Vol.31, 11899-11930, 2021.
(DOI: 10.1007/s12220-021-00705-1)
6. Keita Kunikawa :
On Ecker's local integral quantity at infinity for ancient mean curvature flows,
Annals of Global Analysis and Geometry, Vol.58, 253-266, 2020.
(DOI: 10.1007/s10455-020-09724-7)
7. Keita Kunikawa and Ryosuke Takahashi :
Convergence of mean curvature flow in hyper-Kähler manifolds,
Pacific Journal of Mathematics, Vol.305, No.2, 667-691, 2020.
(DOI: 10.2140/pjm.2020.305.667)
8. Keita Kunikawa and Toru Kajigaya :
A convergence of generalized Lagrangian mean curvature flow in Kähler manifold with positive weighted Ricci form,
Advanced Studies in Pure Mathematics, Vol.85, 205-214, 2020.
(DOI: 10.2969/aspm/08510205,   Elsevier: Scopus)
9. Keita Kunikawa and Shunsuke Saito :
Remarks on topology of stable translating solutions,
Geometriae Dedicata, Vol.202, No.1, 1-8, 2018.
(DOI: 10.1007/s10711-018-0399-1)
10. Keita Kunikawa :
Non-existence of eternal solutions to Lagrangian mean curvature flow with non-negative Ricci curvature,
Geometriae Dedicata, Vol.201, No.1, 369-377, 2018.
(DOI: 10.1007/s10711-018-0397-3)
11. Keita Kunikawa and Toru Kajigaya :
Hamiltonian stability for weighted measure and generalized Lagrangian mean curvature flow,
Journal of Geometry and Physics, Vol.128, 140-168, 2018.
(DOI: 10.1016/j.geomphys.2018.02.011)
12. Keita Kunikawa :
Translating solitons in arbitrary codimension,
Asian Journal of Mathematics, Vol.21, No.5, 855-872, 2018.
(DOI: 10.4310/AJM.2017.v21.n5.a4)
13. Keita Kunikawa :
A Bernstein type theorem of ancient solutions to the mean curvature flow,
Proceedings of the American Mathematical Society, Vol.144, No.3, 1325-1333, 2015.
(DOI: 10.1090/proc/12802,   Elsevier: Scopus)
14. Keita Kunikawa :
Bernstein-type theorem of translating solitons in arbitrary codimension with flat normal bundle,
Calculus of Variations and Partial Differential Equations, Vol.54, No.2, 1331-1344, 2015.
(DOI: 10.1007/s00526-015-0826-1,   Elsevier: Scopus)

Academic Paper (Unrefereed Paper):

1. Keita Kunikawa :
Index estimate by first Betti number of minimal hypersurface in compact symmetric space: Part I,
OCAMI Reports, Vol.7, 193-206, 2025.

Review, Commentary:

1. Keita Kunikawa :
平均曲率流方程式,
数理科学, Vol.62, No.2, 30-37, Feb. 2024.
(CiNii: 1520017611545664256)

Et cetera, Workshop:

1. Keita Kunikawa and Kajigaya Toru :
コンパクト対称空間内の極小超曲面の第1ベッチ数によるモース指数評価,
日本数学会2025年度年会, Mar. 2025.
2. Keita Kunikawa :
コンパクト対称空間内の極小超曲面の第1 ベッチ数によるモース指数評価,
リーマン幾何と幾何解析, Feb. 2025.
3. Keita Kunikawa :
Index estimate by first Betti number of minimal hypersurface in compact symmetric space: Part I,
Submanifold Geometry, Lie Group Action and Its Applications to Theoretical Physics 2024, Nov. 2024.
4. Keita Kunikawa :
余次元の高いself-shrinkerのモース指数評価,
第71回幾何学シンポジウム, Sep. 2024.
5. Keita Kunikawa :
Self-shrinkerのモース指数評価と今後の課題,
RIMS共同研究(公開型) 部分多様体と離散化の幾何学, Jun. 2024.
6. Keita Kunikawa :
余次元の高いself-shrinkerのモース指数評価,
福岡大学微分幾何セミナー, Apr. 2024.
7. Keita Kunikawa :
Index estimate for self-shrinkers in higher codimension,
MATRIX-RIMS Tandem Workshop: Evolutionary Partial Differential Equations and Applications, Mar. 2024.
8. Keita Kunikawa :
Index estimate for self-shrinkers in higher codimension,
The 4th International Conference on Surfaces, Analysis, and Numerics in Differential Geometry, Feb. 2024.
9. Keita Kunikawa :
Morse index and first Betti number for self-shrinkers in higher codimension,
部分多様体幾何とリー群作用2023, Nov. 2023.
10. Keita Kunikawa :
Morse index estimate via first Betti number for self-shrinkers in higher codimension,
The 8th China-Japan Geometry Conference, Sep. 2023.
11. Keita Kunikawa :
余次元の高いself-shrinkerのベッチ数によるMorse index評価,
-, Jul. 2023.
12. Keita Kunikawa :
Liouville type theorem for harmonic maps of controlled growth,
NCTS Seminar on Differential Geometry, Jun. 2023.
13. Keita Kunikawa :
Liouville type theorem for harmonic maps of controlled growth,
BIMSA-BIT Differential Geometry Seminar, May 2023.

Grants-in-Aid for Scientific Research (KAKEN Grants Database @ NII.ac.jp)

  • Geometric analysis on evolving Riemannian manifolds (Project/Area Number: 23K03105 )
  • Mathematical approaches for analysing and diagnosing respiratory diseases (Project/Area Number: 23K22406 )
  • Research on type II singularities of the mean curvature flow (Project/Area Number: 19K14521 )
  • Search by Researcher Number (10813165)